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TS EAMCET · Physics · Kinetic Theory of Gases

The temperature of 5 moles of a gas at constant volume is changed from \(100^{\circ} \mathrm{C}\) to \(120^{\circ} \mathrm{C}\). The change in internal energy is \(80 \mathrm{~J}\). The total heat capacity of the gas at constant volume will be in \(\mathrm{J} / \mathrm{K}\) is :

  1. A 8
  2. B 4
  3. C 0.8
  4. D 0.4
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Answer & Solution

Correct Answer

(B) 4

Step-by-step Solution

Detailed explanation

\(n=5\) moles, \(T_1=100^{\circ} \mathrm{C}\) \(T_2=120^{\circ} \mathrm{C}, \Delta U=80 \mathrm{~J}\) Rise in temperature \(\Delta t=120-100=20^{\circ} \mathrm{C}\) \(\Delta U=m s \Delta t\) \(\frac{80}{5}=1 \times s \times 20\) \(s=0.8 \mathrm{~J}\) \(\therefore \quad\) For 5…
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